Vertical distribution of zooplankton: density dependence and

of conditional inference. For example, if the jth component of X is independent of Y then that component is irrelevant to estimating the density of Y given X, and ideally should be dropped before conducting inference. In this paper we show that cross-validation overcomes these difficulties. It automatically

Nuclear fusion research promises to harvest the ex-cess energy carried by energetic neutrons when Deu-terium and Tritium hydrogen isotopes are fused to-gether to form α-particles. Pressure and density condi-

Abstract. This paper studies lattice properties of operator ideals in B(H) and their applications to the arithmetic mean ideals which were introduced in [10] and further studied in the project [14]-[18] of which this paper is a part. It is proved that the lattices of all principal ideals

Abstract. Two classes of ultrafilters on natural numbers are presented which are determined by the summable ideal and the density ideal. The relationship between these two classes is shown and also the relationship to the well-known class of P-points. Under some additional set-theoretic assumptions

We consider for any topologies τ1 ⊆ τ2 the ideal of sets A such that for each nonempty U ∈ τ2 there exists W ∈ τ1 such that U ∩W 6 = ∅ and A ∩ U ∩ W = ∅. For τ1 the standard Euclidean topology and for τ2 the density topology we obtain investigated by Z.Grande and E.Strońska the ideal (a). 1

This paper compares two methods of statistical mechanics used to study a classical Coulomb system S near an ideal conductor C. The first method consists in neglecting the thermal fluctuations in the conductor C and constrains the electric potential to be constant on it. In the second method

We consider in this section a non-interacting Fermi gas in a single spin component, at thermal equilibrium in the grand canonical ensemble. We review basic properties of such a gas. We concentrate on the degenerate regime ρλ 3 ≫ 1, with ρ the density and λ the thermal de Broglie wavelength defined

-invariant linearization of the dynamic model for the error integration. The approximations lead to dramatic computational savings in applying estimation theory to large complex systems. We examine the utility of the approximate filter in assimilating different measurement types using a twin experiment of an idealized

-indestructibility of the density zero ideal. He asked about other variants of this theorem concerning I-almost everywhere infinite-fold covers of Polish spaces where I is a σ-ideal on the space and the set of indices of the required subsequence should be in a fixed ideal J on ω. We introduce the notion of the J-covering property